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Finding the Third Proportional to 138,968 and 293,248

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Solution

The third proportional to 138,968 and 293,248 is: 618,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,968 : 293,248 = 293,248 : x
  2. Step 2: Convert to fraction form
    138,968/293,248 = 293,248/x
  3. Step 3: Cross multiply
    138,968x = 293,248 × 293,248
  4. Step 4: Simplify right side
    138,968x = 85,994,389,504
  5. Step 5: Solve for x
    x = 85,994,389,504/138,968
  6. Step 6: Final answer
    x = 618,807.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.